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Mathematics 15 Online
OpenStudy (lena772):

Algebra I help

OpenStudy (anonymous):

What is the question?

OpenStudy (lena772):

OpenStudy (lena772):

@ganeshie8

OpenStudy (anonymous):

\[16^{1/4} = \sqrt[4]{16 \times 1}\]

OpenStudy (lena772):

But y is 1, not 4.

OpenStudy (lena772):

@agent0smith

OpenStudy (opcode):

\[\dfrac{1}{3} = Cube~root\] \[\dfrac{1}{4} = Forth~root\] \[\dfrac{1}{5} = Fifth~root\] @pabloecortez07 provided the property, not much more than that.

OpenStudy (anonymous):

Fourth root*

OpenStudy (lena772):

Look at pablo's equation. He has x^y/z = yrootx*z In my equation y would be 1, not 4.

OpenStudy (opcode):

\[\large a^{\frac{1}{b}}=\sqrt[b]{a}\]

OpenStudy (opcode):

\[b\ne0\]

OpenStudy (opcode):

The property is called, Rational Exponent Property.

OpenStudy (anonymous):

@Lena772 Here's what it's like, sorry I messed up: \[x ^{\frac{ y }{ z }} = \sqrt[z]{x \times y}\]

OpenStudy (agent0smith):

That's not right either @pabloecortez07 \[\huge x ^{\frac{ y }{ z }} = \sqrt[z]{x^ y}\]which i'm guessing is what you meant

OpenStudy (agent0smith):

since\[\huge x ^{\frac{ y }{ z }} =(x^y)^{1/z} = \sqrt[z]{x^ y}\]

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